Quantum Mechanics (GATE (Graduate Aptitude Test in Engineering) Physics): Questions 1 - 3 of 77

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Question number: 1

» Quantum Mechanics » Angular Momentum and Spin

Appeared in Year: 2014

Short Answer Question▾

Write in Short

A hydrogen atom is in the state Equation

Where Equation in Equation denote the principal, orbital and magnetic quantum numbers, respectively. If Equation is the angular momentum operator, the average value of Equation is________ Equation .

Question number: 2

» Quantum Mechanics » Time-Independent Perturbation Theory

Appeared in Year: 2014

MCQ▾

Question

A particle is confined to a one dimensional potential box with the potential

Equation

If the particle is subjected to a perturbation, within the box, Equation , where Equation is a small constant, the first order correction to the ground state energy is –

Choices

Choice (4) Response

a.

0

b.

Equation

c.

Equation

d.

Equation

Question number: 3

» Quantum Mechanics » One, Two and Three-Dimensional Potential Problems

Appeared in Year: 2015

MCQ▾

Question

The average energy Equation of a one dimensional quantum oscillator of frequency Equation and in contact with a heat bath at temperature T is given by,

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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